An analysis of the magic echo and solid echo sequence for quadrupolar echo spectroscopy of spin I = 1 nuclei by average Hamiltonian theory

This work focuses on analyzing the dynamics of spin I=1 nuclei evolving under a simple two pulse echo cycle and a magic echo cycle by average Hamiltonian theory. The work highlights how spectral artifacts introduced by finite pulse widths can be removed by cycling the phases of the receiver and transmitter in a well defined way. In addition, it is shown that a magic echo cycle can refocus both the quadrupolar interaction together with any offset Hamiltonian. Due to higher convergence in the Magnus expansion magic echo based quadrupolar echo spectroscopy outperforms the conventional two pulse echo sequence.